28758190080 has 384 divisors, whose sum is σ = 99349286400. Its totient is φ = 7074742272.

The previous prime is 28758190067. The next prime is 28758190091. The reversal of 28758190080 is 8009185782.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27678201 + ... + 27679239.

It is an arithmetic number, because the mean of its divisors is an integer number (258722100).

Almost surely, 2^28758190080 is an apocalyptic number.

28758190080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28758190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49674643200).

28758190080 is an abundant number, since it is smaller than the sum of its proper divisors (70591096320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28758190080 is a wasteful number, since it uses less digits than its factorization.

28758190080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The spelling of 28758190080 in words is "twenty-eight billion, seven hundred fifty-eight million, one hundred ninety thousand, eighty".